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Finding the Fourth Proportional to 1,294.38, 1,939.14 and 677.97

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Solution

The fourth proportional to 1,294.38, 1,939.14 and 677.97 is: 1,015.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.38 : 1,939.14 = 677.97 : x
  2. Step 2: Convert to fraction form
    1,294.38/1,939.14 = 677.97/x
  3. Step 3: Cross multiply
    1,294.38x = 1,939.14 × 677.97
  4. Step 4: Simplify right side
    1,294.38x = 1,314,678.75
  5. Step 5: Solve for x
    x = 1,314,678.75/1,294.38
  6. Step 6: Final answer
    x = 1,015.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.